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Finding the Third Proportional to 13,385.91 and 18,803.06

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Solution

The third proportional to 13,385.91 and 18,803.06 is: 26,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.91 : 18,803.06 = 18,803.06 : x
  2. Step 2: Convert to fraction form
    13,385.91/18,803.06 = 18,803.06/x
  3. Step 3: Cross multiply
    13,385.91x = 18,803.06 × 18,803.06
  4. Step 4: Simplify right side
    13,385.91x = 353,555,159.38
  5. Step 5: Solve for x
    x = 353,555,159.38/13,385.91
  6. Step 6: Final answer
    x = 26,412.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.